Overview
Most of the techniques used to analyze time series are drawn from standard statistics. In particular, OLS regression has become a workhorse of time series analysis.
However, machine learning has also recently developed powerful techniques that can be applied to time series.
Models
Many of the models in machine learning that are used for time series forecasting (such as OLS Regression) have overlap with the traditional statistical approach, however, the advent of neural networks brought new tools to bear.